A new variational formulation of Cosserat elasticity treats coframe and rotational connection as independent fields to derive force and moment balance laws via Euler-Lagrange equations and Noether theorems without a priori compatibility constraints.
Noether, Invariante Variationsprobleme, Nachrichten von der Gesellschaft der Wissenschaften zu G¨ ottingen, Mathematisch-Physikalische Klasse
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A Variational Formulation of Classical Cosserat Elasticity with Independent Coframe and Rotational Connection
A new variational formulation of Cosserat elasticity treats coframe and rotational connection as independent fields to derive force and moment balance laws via Euler-Lagrange equations and Noether theorems without a priori compatibility constraints.